tanutarou

## model_eval.ipynb

      
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              March 3, 2020 14:28
            
              
                ベイズ統計の理論と方法 6.2.3 例25 再現コード
              
          
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## tfp_polyfit.ipynb

      
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              September 27, 2018 18:58
            
              
                [WIP] bayesian polynomial fitting example by using tensorflow probability
              
          
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## poisson.ipynb

      
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              August 31, 2022 21:03
            
              
                ポアソン分布に対するベイズ推論(メール受信数を例に実験)
              
          
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## categorical.ipynb

      
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              December 8, 2017 22:31
            
              
                カテゴリカル分布に対するベイズ推定(サイコロの出る目の確率推定)
              
          
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## bernoulli.ipynb

      
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              November 25, 2017 06:49
            
              
                ベルヌーイ試行のMAP推定、ベイズ推定の例：きのこ傘投げ問題
              
          
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## bayesian_polyfit.ipynb

      
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              Created
              October 15, 2017 11:50
            
              
                最小二乗法、ガウスノイズモデル、ベイズ線形回帰モデルによる多項式あてはめ
              
          
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## file0.txt
\begin{eqnarray}
\sum_i \sum_{k=1}^K q_i(z_k)\ln \left[\frac{p(x_i, z_k|\theta)}{q_i(z_k)} \right] &=& \sum_i \sum_{k=1}^K q_i(z_k)\ln \left[ \frac{p(z_k|x_i,\theta)p(x_i|\theta)}{q_i(z_k)} \right] \\
&=&\sum_i \sum_{k=1}^K q_i(z_k)\ln \left[ p(x_i|\theta) \right] + \sum_i \sum_{k=1}^K q_i(z_k)  \ln\left[ \frac{p(z_k|x_i, \theta)}{q_i(z_k)} \right] \\
&=& \sum_i \ln \left[ p(x_i|\theta) \right] +\sum_i \sum_{k=1}^K q_i(z_k) \ln \left[ \frac{p(z_k|x_i, \theta)}{q_i(z_k)} \right]
\end{eqnarray}

## gibbs_sampler.ipynb

      
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              Created
              September 5, 2017 09:30
            
          
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## mcmc.ipynb

      
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              September 5, 2017 12:22
            
              
                『計算統計Ⅱ マルコフ連鎖モンテカルロ法とその周辺』 第1部2章の再現コード (p.8~28)
              
          
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## monte_carlo_pi.ipynb

      
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              Created
              September 3, 2017 06:32
            
              
                Calculation of Pi Using the Monte Carlo Method
              
          
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	\begin{eqnarray}
	\sum_i \sum_{k=1}^K q_i(z_k)\ln \left[\frac{p(x_i, z_k\|\theta)}{q_i(z_k)} \right] &=& \sum_i \sum_{k=1}^K q_i(z_k)\ln \left[ \frac{p(z_k\|x_i,\theta)p(x_i\|\theta)}{q_i(z_k)} \right] \\
	&=&\sum_i \sum_{k=1}^K q_i(z_k)\ln \left[ p(x_i\|\theta) \right] + \sum_i \sum_{k=1}^K q_i(z_k) \ln\left[ \frac{p(z_k\|x_i, \theta)}{q_i(z_k)} \right] \\
	&=& \sum_i \ln \left[ p(x_i\|\theta) \right] +\sum_i \sum_{k=1}^K q_i(z_k) \ln \left[ \frac{p(z_k\|x_i, \theta)}{q_i(z_k)} \right]
	\end{eqnarray}